A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
![\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%2B%5Cdfrac%7Bc%7D%7Bd%7D%3D%5Cdfrac%7Ba%7D%7Bb%7D%5Ccdot%5Cdfrac%7Bd%7D%7Bd%7D%2B%5Cdfrac%7Bc%7D%7Bd%7D%5Ccdot%5Cdfrac%7Bb%7D%7Bb%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bad%2Bbc%7D%7Bbd%7D)
Here, you have
The sum is -1 1/12
Option C:
is the right answer
Step-by-step explanation:
Given formula for volume of a sphere is:
![V = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
We have to make r the subject of the formula
Multiplying equation by 3/4
![\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7DV%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D%20%5Cpi%20r%5E3%5C%5C%5Cfrac%7B3%7D%7B4%7DV%20%3D%20%5Cpi%20r%5E3)
Dividing both sides by pi
![\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%5Cpi%7DV%20%3D%5Cfrac%7B%20%5Cpi%20r%5E3%7D%7B%5Cpi%7D%5C%5C%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%3D%20r%5E3)
Taking cube root on both sides
![\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D%20%3D%20%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D)
Hence,
Option C:
is the right answer
Keywords: Volume, Sphere
Learn more about volume at:
#LearnwithBrainly
Answer:
around 73-89%
Step-by-step explanation:
Hope this helps!
Answer:
6.5 = <em>h</em> + 2
<em>h</em> = 4.5
Step-by-step explanation:
We are given <em>h</em> and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find <em>h</em>, we set the equation equal to 6.5
(3/5)(2/5)=6/25
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